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Finding the Fourth Proportional to 2,369.60, 3,544.80 and 2,139.20

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Solution

The fourth proportional to 2,369.60, 3,544.80 and 2,139.20 is: 3,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.60 : 3,544.80 = 2,139.20 : x
  2. Step 2: Convert to fraction form
    2,369.60/3,544.80 = 2,139.20/x
  3. Step 3: Cross multiply
    2,369.60x = 3,544.80 × 2,139.20
  4. Step 4: Simplify right side
    2,369.60x = 7,583,036.16
  5. Step 5: Solve for x
    x = 7,583,036.16/2,369.60
  6. Step 6: Final answer
    x = 3,200.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.